Final project @ Numerical Linear Algebra (数值代数) at Peking University. Consider the Stokes equations: $$-\Delta \vec{u} + \nabla p = \vec{F}, (x, y) \in (0,1 ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working on with my student N. Alpay. Not an Erdős problem, but original research.

Discover the true scale of the plastic pollution crisis and explore the latest breakthroughs in recycling and repurposing plastic waste. From fashion brands crafting apparel with recycled materials to ...

When quantum computing makes headlines, it’s typically one of two stories. The first is a promise: incredible power is coming. Engineering marvels from Silicon Valley or China, boasting quantum bits ...

Is innovation inherently a hit-or-miss endeavor? Not if you understand why customers make the choices they do. by Clayton M. Christensen, Taddy Hall, Karen Dillon and David S. Duncan For as long as we ...

For most people, drinking water is the best and cheapest way to rehydrate, especially after sweating from exercise, sauna sessions, or hot yoga. If you lose electrolytes from heavy sweating, diarrhea, ...

A relative clause can be used to give additional information about a noun. They are introduced by a relative pronoun like 'that', 'which', 'who', 'whose', 'where' and 'when'. For example: I won’t ...

According to Greg Brockman (@gdb) and Terence Tao, GPT-5.2 Pro has reached a significant milestone by independently solving an Erdos problem—a first for large language models (LLMs). This achievement ...

Welcome to my repository of HackerRank solutions in Java! This collection showcases my journey through solving various problem-solving challenges, focusing on improving my algorithmic thinking, coding ...